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castortr0y [4]
3 years ago
8

This is the question: Write down the equation of a circle with centre (0,0) and radius 5.

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0
You almost had it right! remember the equation of a circle is
(x - h)^2 + (y - k)^2 = r^2. the center is (h,k) and r is the radius.

(x - 0)^2 + (y - 0)^2 = 5^2

x^2 + y^2 = 25 <<< your answer

hope that helps, God bless!
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I need help ASAP. I need help can someone explain and can anyone tell me the answer please . I’ll give u anything u want
AleksAgata [21]
<h3>Answers:</h3>
  • Domain:  (-\infty, \infty) which is the set of all real numbers
  • Range: [3, \infty) which is the set of y values such that y \ge 3
  • x intercepts: none
  • y intercept:  only one y intercept and it is at (0,7) this is ordered pair notation and not interval notation
  • Interval positive: (-\infty, \infty)
  • Interval negative: none
  • Interval increasing: (-2, \infty)
  • Interval decreasing: (-\infty, -2)
  • Average rate of change over [-2,0] is 2

=====================================================

Explanation:

The domain is the set of all real numbers. This is because the graph goes on forever to the left and right. We can use any x value we want as an input. There are no restrictions to worry about such as to prevent dividing by zero errors.

To say "all real numbers" in interval notation, we write (-\infty, \infty) which is another way of saying -\infty < x < \infty

-------------------

The range in interval notation is [3, \infty) since y = 3 is the smallest y output possible, and we could have larger y values as well. So basically y \ge 3 can be used to describe the range without saying much else.

Note the use of a square bracket to include 3 as part of the interval.

-------------------

There are no x intercepts because this graph does not cross the x axis. The lowest point is at (-2,3) so there's no way we could reach y = 0. Put another way, y = 0 is not part of the range so we cannot have any x intercepts.

There is one y intercept and it is at (0,7) where the graph crosses the y axis. For any function, the max number of y intercepts is 1.

-------------------

When it says "interval positive", its asking "which part(s) of the graph are above the x axis?". That would be the entire graph meaning we have the interval (-\infty, \infty). Every point on this V shaped curve is of the form (x,y) where y is positive.

So this means that we do not have any points with a negative y value, and therefore the answer to "interval negative" is none.

-------------------

Now onto the "interval increasing". This is similar to the previous section, but now we're looking when the graph is going uphill as we read from left to right. This happens on the interval (-2, \infty) or put another way when x > -2.

The graph goes downhill whenever x < -2. So that's why the answer for the "interval decreasing" is (-\infty, -2)

-------------------

Note the points (-2,3) and (0,7) are on the V shaped graph. These points have x coordinates of x = -2 and x = 0, which are the endpoints of the interval we're focusing on.

Compute the slope of the line through those two points

m = (y2-y1)/(x2-x1)

m = (7-3)/(0-(-2))

m = (7-3)/(0+2)

m = 4/2

m = 2

The positive slope means the line goes uphill as we read from left to right

The average rate of change on the interval [-2, 0] is the value 2

In other words, we go up 2 units each time we move to the right 1 unit.

8 0
3 years ago
A pizza parlor offers 4 different pizza toppings. How many different kinds of 2-topping pizzas are available?
Galina-37 [17]
Order does not matter so use "n choose k" formula is used to find number of unique combinations.

c=n!/(k!(n-k)!)  where n is total possible choices and k is number of selections.

c=4!/(2!(4-2)!)

c=4!/(2!2!)

c=24/(2*2)

c=24/4

c=6

So there are 6 different two topping options when there are four different toppings to choose from.
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Answer:

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Step-by-step explanation:

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A line passes through (-3,-5) and (5,-4) write equation in point slope form
Tamiku [17]

Answer:

work is shown and attached

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ohaa [14]

Answer:

1

Step-by-step explanation:

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